{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Interpretable Decompositions"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Time series signal decomposition](https://en.wikipedia.org/wiki/Decomposition_of_time_series) involves breaking down an original time series into its constituent components. By decomposing the time series, we can gain insights into underlying patterns, trends-cycles, and seasonal effects, enabling improved understanding and forecasting accuracy.\n",
    "\n",
    "This notebook will show how to use the `NHITS`/`NBEATSx` to extract these series' components. We will:<br>\n",
    "- Installing NeuralForecast.<br>\n",
    "- Simulate a Harmonic Signal.<br>\n",
    "- NHITS' forecast decomposition.<br>\n",
    "- NBEATSx' forecast decomposition.<br>\n",
    "\n",
    "You can run these experiments using GPU with Google Colab.\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/Nixtla/neuralforecast/blob/main/nbs/examples/Signal_Decomposition.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Installing NeuralForecast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "!pip install neuralforecast"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Simulate a Harmonic Signal\n",
    "\n",
    "In this example, we will consider a Harmonic signal comprising two frequencies: one low-frequency and one high-frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 10_000\n",
    "T = 1.0 / 800.0 # sample spacing\n",
    "x = np.linspace(0.0, N*T, N, endpoint=False)\n",
    "\n",
    "y1 = np.sin(10.0 * 2.0*np.pi*x) \n",
    "y2 = 0.5 * np.sin(100 * 2.0*np.pi*x)\n",
    "y = y1 + y2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams[\"axes.grid\"]=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 2.5))\n",
    "plt.plot(y[-80:], label='True')\n",
    "plt.plot(y1[-80:], label='Low Frequency', alpha=0.4)\n",
    "plt.plot(y2[-80:], label='High Frequency', alpha=0.4)\n",
    "plt.ylabel('Harmonic Signal')\n",
    "plt.xlabel('Time')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>unique_id</th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>9904</th>\n",
       "      <td>1</td>\n",
       "      <td>9904</td>\n",
       "      <td>-0.951057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9905</th>\n",
       "      <td>1</td>\n",
       "      <td>9905</td>\n",
       "      <td>-0.570326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9906</th>\n",
       "      <td>1</td>\n",
       "      <td>9906</td>\n",
       "      <td>-0.391007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9907</th>\n",
       "      <td>1</td>\n",
       "      <td>9907</td>\n",
       "      <td>-0.499087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9908</th>\n",
       "      <td>1</td>\n",
       "      <td>9908</td>\n",
       "      <td>-0.809017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9995</th>\n",
       "      <td>1</td>\n",
       "      <td>9995</td>\n",
       "      <td>-0.029130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9996</th>\n",
       "      <td>1</td>\n",
       "      <td>9996</td>\n",
       "      <td>-0.309017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9997</th>\n",
       "      <td>1</td>\n",
       "      <td>9997</td>\n",
       "      <td>-0.586999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9998</th>\n",
       "      <td>1</td>\n",
       "      <td>9998</td>\n",
       "      <td>-0.656434</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9999</th>\n",
       "      <td>1</td>\n",
       "      <td>9999</td>\n",
       "      <td>-0.432012</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>96 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      unique_id    ds         y\n",
       "9904          1  9904 -0.951057\n",
       "9905          1  9905 -0.570326\n",
       "9906          1  9906 -0.391007\n",
       "9907          1  9907 -0.499087\n",
       "9908          1  9908 -0.809017\n",
       "...         ...   ...       ...\n",
       "9995          1  9995 -0.029130\n",
       "9996          1  9996 -0.309017\n",
       "9997          1  9997 -0.586999\n",
       "9998          1  9998 -0.656434\n",
       "9999          1  9999 -0.432012\n",
       "\n",
       "[96 rows x 3 columns]"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Split dataset into train/test\n",
    "# Last horizon observations for test\n",
    "horizon = 96\n",
    "Y_df = pd.DataFrame(dict(unique_id=1, ds=np.arange(len(x)), y=y))\n",
    "Y_train_df = Y_df.groupby('unique_id').head(len(Y_df)-horizon)\n",
    "Y_test_df = Y_df.groupby('unique_id').tail(horizon)\n",
    "Y_test_df"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. NHITS decomposition"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will employ `NHITS` stack-specialization to recover the latent harmonic functions. \n",
    "\n",
    "`NHITS`, a Wavelet-inspired algorithm, allows for breaking down a time series into various scales or resolutions, aiding in the identification of localized patterns or features. The expressivity ratios for each layer enable control over the model's stack specialization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuralforecast.models import NHITS, NBEATSx\n",
    "from neuralforecast import NeuralForecast\n",
    "from neuralforecast.losses.pytorch import HuberLoss, MQLoss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "models = [NHITS(h=horizon,                           # Forecast horizon\n",
    "                input_size=2 * horizon,              # Length of input sequence\n",
    "                loss=HuberLoss(),                    # Robust Huber Loss\n",
    "                max_steps=1000,                      # Number of steps to train\n",
    "                dropout_prob_theta=0.5,\n",
    "                interpolation_mode='linear',\n",
    "                stack_types=['identity']*2,\n",
    "                n_blocks=[1, 1],\n",
    "                mlp_units=[[64, 64],[64, 64]],\n",
    "                n_freq_downsample=[10, 1],           # Inverse expressivity ratios for NHITS' stacks specialization\n",
    "                val_check_steps=10,                  # Frequency of validation signal (affects early stopping)\n",
    "              )\n",
    "          ]\n",
    "nf = NeuralForecast(models=models, freq=1)\n",
    "nf.fit(df=Y_train_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True (cuda), used: True\n",
      "TPU available: False, using: 0 TPU cores\n",
      "HPU available: False, using: 0 HPUs\n",
      "LOCAL_RANK: 0 - CUDA_VISIBLE_DEVICES: [0]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d5d3dc26f3e14757a2e4047eb3946aa4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Predicting: |          | 0/? [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from neuralforecast.tsdataset import TimeSeriesDataset\n",
    "\n",
    "# NHITS decomposition plot\n",
    "model = nf.models[0]\n",
    "dataset, *_ = TimeSeriesDataset.from_df(df = Y_train_df)\n",
    "y_hat = model.decompose(dataset=dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 1, figsize=(6, 7))\n",
    "\n",
    "ax[0].plot(Y_test_df['y'].values, label='True', linewidth=4)\n",
    "ax[0].plot(y_hat.sum(axis=1).flatten(), label='Forecast', color=\"#7B3841\")\n",
    "ax[0].legend()\n",
    "ax[0].set_ylabel('Harmonic Signal')\n",
    "\n",
    "ax[1].plot(y_hat[0,1]+y_hat[0,0], label='stack1', color=\"green\")\n",
    "ax[1].set_ylabel('NHITS Stack 1')\n",
    "\n",
    "ax[2].plot(y_hat[0,2], label='stack2', color=\"orange\")\n",
    "ax[2].set_ylabel('NHITS Stack 2')\n",
    "ax[2].set_xlabel(r'Prediction $\\tau \\in \\{t+1,..., t+H\\}$')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. NBEATSx decomposition"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we will employ `NBEATSx` interpretable basis projection to recover the latent harmonic functions. \n",
    "\n",
    "`NBEATSx`, this network in its interpretable variant sequentially projects the signal into polynomials and harmonic basis to learn trend $T$ and seasonality $S$ components:\n",
    "$$\\hat{y}_{[t+1:t+H]} = \\theta_{1} T + \\theta_{2} S$$ \n",
    "\n",
    "In contrast to `NHITS`' wavelet-like projections the basis heavily determine the behavior of the projections. And the Fourier projections are not capable of being immediately decomposed into individual frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "models = [NBEATSx(h=horizon,                           # Forecast horizon\n",
    "                  input_size=2 * horizon,              # Length of input sequence\n",
    "                  loss=HuberLoss(),                    # Robust Huber Loss\n",
    "                  max_steps=1000,                      # Number of steps to train\n",
    "                  dropout_prob_theta=0.5,\n",
    "                  stack_types=['trend', 'seasonality'], # Harmonic/Trend projection basis\n",
    "                  n_polynomials=0,                      # Lower frequencies can be captured by polynomials\n",
    "                  n_blocks=[1, 1],\n",
    "                  mlp_units=[[64, 64],[64, 64]],\n",
    "                  val_check_steps=10,                  # Frequency of validation signal (affects early stopping)\n",
    "              )\n",
    "          ]\n",
    "nf = NeuralForecast(models=models, freq=1)\n",
    "nf.fit(df=Y_train_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True (cuda), used: True\n",
      "TPU available: False, using: 0 TPU cores\n",
      "HPU available: False, using: 0 HPUs\n",
      "LOCAL_RANK: 0 - CUDA_VISIBLE_DEVICES: [0]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "84fc6f8015364fdcbf2d592f252557f2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Predicting: |          | 0/? [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBEATSx decomposition plot\n",
    "model = nf.models[0]\n",
    "dataset, *_ = TimeSeriesDataset.from_df(df = Y_train_df)\n",
    "y_hat = model.decompose(dataset=dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 1, figsize=(6, 7))\n",
    "\n",
    "ax[0].plot(Y_test_df['y'].values, label='True', linewidth=4)\n",
    "ax[0].plot(y_hat.sum(axis=1).flatten(), label='Forecast', color=\"#7B3841\")\n",
    "ax[0].legend()\n",
    "ax[0].set_ylabel('Harmonic Signal')\n",
    "\n",
    "ax[1].plot(y_hat[0,1]+y_hat[0,0], label='stack1', color=\"green\")\n",
    "ax[1].set_ylabel('NBEATSx Trend Stack')\n",
    "\n",
    "ax[2].plot(y_hat[0,2], label='stack2', color=\"orange\")\n",
    "ax[2].set_ylabel('NBEATSx Seasonality Stack')\n",
    "ax[2].set_xlabel(r'Prediction $\\tau \\in \\{t+1,..., t+H\\}$')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "- [Cristian Challu, Kin G. Olivares, Boris N. Oreshkin, Federico Garza, Max Mergenthaler-Canseco, Artur Dubrawski (2023). NHITS: Neural Hierarchical Interpolation for Time Series Forecasting.](https://arxiv.org/abs/2201.12886)<br>\n",
    "- [Boris N. Oreshkin, Dmitri Carpov, Nicolas Chapados, Yoshua Bengio (2019). \"N-BEATS: Neural basis expansion analysis for interpretable time series forecasting\".](https://arxiv.org/abs/1905.10437)<br>\n",
    "- [Kin G. Olivares, Cristian Challu, Grzegorz Marcjasz, Rafał Weron, Artur Dubrawski (2021). \"Neural basis expansion analysis with exogenous variables: Forecasting electricity prices with NBEATSx\".](https://arxiv.org/abs/2104.05522)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "display_name": "python3",
   "language": "python",
   "name": "python3"
  },
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